Least Common Multiple of 686/750, 5738/6431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/750, 5738/6431 quickly i.e. 1968134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/750, 5738/6431 is 1968134.

LCM(686/750, 5738/6431) = 1968134

LCM of 686/750, 5738/6431

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 686/750,5738/6431

Given numbers are 686/750,5738/6431

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 686,5738

Least Common Multiple of Numerators i.e. LCM of 686,5738 is 1968134.

GCF of Denominators means GCF of 750,6431 as per the given fractions.

GCF of 750,6431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,5738

LCM of Fractions 686/750,5738/6431 is 1968134

2 686, 5738
343, 2869

∴ So the LCM of the given numbers is 2 x 343 x 2869 = 1968134

Least Common Multiple of 686,5738 with GCF Formula

Least Common Multiple of 686,5738 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 686,5738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,5738) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(686,5738) x common factors =2 x 1 = 2

LCM(686,5738) = ( 686 × 5738 ) / 2

LCM(686,5738) = 3936268 / 2

LCM(686,5738) = 1968134


Lets's calculate GCF of 750,6431

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1968134/1

Therefore the LCM of Fractions 686/750,5738/6431 is 1968134

Greatest Common Factor of 750,6431 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,6431 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 6431

List of positive integer factors of 6431 that divides 6431 without a remainder.

1,59,109,6431

Greatest Common Factor

We found the factors 750,6431 . The biggest common factor number is the GCF number.
So the greatest common factor 750,6431 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 686/750, 5738/6431

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 686/750, 5738/6431?

Answer: LCM of Numerators as per given numbers 686/750, 5738/6431 is

LCM of Numerators i.e. for 686,5738 is 1968134

GCF of denominators i.e. for 750,6431 is 1.

Thus, LCM of Fractions is 1968134.Finally, LCM of Fractions for 686/750, 5738/6431 is 1968134.